LIGHTLIKE DEVELOPABLES IN MINKOWSKI 3-SPACE

Sachiko Chino, Shyuichi Izumiya
2010 Demonstratio Mathematica  
We say that a surface in Minkowski 3-space is a lightlike developable if all pseudo-normal vectors of the regular part of the surface sire lightlike. The tangent surface of a lightlike curve is one of the lightlike developables. We give a generic classification of such surfaces. The all arguments in this paper are elementary. However, we discovered the H3 type singularity appears in generic for such a class of surfaces. Since the H3 type singularity usually appears in non-generic situation,
more » ... eric situation, this is a quite interesting phenomenon. 2000 Mathematics Subject Classification: 53A35, 58C27, 58C28.
doi:10.1515/dema-2010-0212 fatcat:jkoifrd4tjbm3b3bujjfxdj7na